In my experience with LED lighting GFCI tripping has been more of a concern rather than total amperage draw. As already mentioned, unless you are using big power hungry fixtures, large movers, or maybe a hazer, you can typically daisy chain 8 or more and still be well under current draw / wiring capacity limits.
On the other hand, it seems each fixture and each "loop" has the potential for some miniscule, but not zero, current leakage that may affect a GFCI breaker. Long power/dmx runs on bigger stages, cord connections on the ground, and any moisture can exacerbate the problem.
In addition to lighting you may be energizing main speakers/amps, 4-6 powered monitors, as well as mixer, wifi, artnet converters, tablet chargers, etc from a limited number of separate outlets. Then there is muso power for their amps, keys, laptops, phone chargers, etc. But muso/stage power always gets its own circuit in my book so any problems they introduce is isolated.
While the total current draw may be reasonable for each power outlet, and each fixture or device may be functioning properly on its own, the cumulative effect of too many devices on one circuit may be enough to trip a GFCI breaker.
I don't know the science behind this and probably could not prove anything but have had a handful of real life experiences where GFCI outlets have tripped just due to too many attached devices. The solution has been careful re-distribution of the devices across the available outlets with attention to device count rather than current draw. Reconfiguring wiring runs to be as short and direct as possible has also helped.
Those GFCI devices can be sensitive and do age and become more sensitive, especially the outdoor ones. Something to keep in the back of your mind when wiring up a bigger show.